Simplify fourth root of x^6y^3+ fourth root of x^10y^3

$\sqrt[4]{x^{6} y^{3}} + \sqrt[4]{x^{10} y^{3}}$

Rewrite $x^{6} y^{3}$ as $x^{4} (x^{2} y^{3})$ .

Factor out $x^{4}$ .

$\sqrt[4]{x^{4} x^{2} y^{3}} + \sqrt[4]{x^{10} y^{3}}$

Add parentheses.

$\sqrt[4]{x^{4} (x^{2} y^{3})} + \sqrt[4]{x^{10} y^{3}}$

Pull terms out from under the radical.

$x \sqrt[4]{x^{2} y^{3}} + \sqrt[4]{x^{10} y^{3}}$

Rewrite $x^{10} y^{3}$ as ${(x^{2})}^{4} (x^{2} y^{3})$ .

Factor out $x^{8}$ .

$x \sqrt[4]{x^{2} y^{3}} + \sqrt[4]{x^{8} x^{2} y^{3}}$

Rewrite $x^{8}$ as ${(x^{2})}^{4}$ .

$x \sqrt[4]{x^{2} y^{3}} + \sqrt[4]{{(x^{2})}^{4} x^{2} y^{3}}$

Add parentheses.

$x \sqrt[4]{x^{2} y^{3}} + \sqrt[4]{{(x^{2})}^{4} (x^{2} y^{3})}$

Pull terms out from under the radical.

$x \sqrt[4]{x^{2} y^{3}} + x^{2} \sqrt[4]{x^{2} y^{3}}$